A sound source emits sound waves in a uniform medium. If energy density is $E$ and maximum speed of the particles of the medium is $v_{\max}.$ The plot between $E$ and $v_{\max}\ $is best represented by

Question

Dr. Abubacker · Accepted Answer

(c) Energy density $(E) = \frac{I}{v} = 2\pi^{2}\rho n^{2}A^{2}$
$v_{\max} = \omega A = 2\pi nA \Rightarrow E \propto \left( v_{\max} \right)^{2}$
$i.e.,$ graph between $E$ and $v_{\max}$ will be parabola symmetrical about $E$ axis

Q. A sound source emits sound waves in a uniform medium. If energy density is $E$ and maximum speed of the particles of the medium is $v_{\max}.$ The plot between $E$ and $v_{\max}\ $is best represented by

Explanation

Reviewed by Dr. Abubacker

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